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Finding the Third Proportional to 6,318,082 and 13,644,857

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Solution

The third proportional to 6,318,082 and 13,644,857 is: 29,468,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318,082 : 13,644,857 = 13,644,857 : x
  2. Step 2: Convert to fraction form
    6,318,082/13,644,857 = 13,644,857/x
  3. Step 3: Cross multiply
    6,318,082x = 13,644,857 × 13,644,857
  4. Step 4: Simplify right side
    6,318,082x = 186,182,122,550,449
  5. Step 5: Solve for x
    x = 186,182,122,550,449/6,318,082
  6. Step 6: Final answer
    x = 29,468,139.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.